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Finding the Fourth Proportional to 21,725.71, 29,996 and 14,649.55

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Solution

The fourth proportional to 21,725.71, 29,996 and 14,649.55 is: 20,226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,725.71 : 29,996 = 14,649.55 : x
  2. Step 2: Convert to fraction form
    21,725.71/29,996 = 14,649.55/x
  3. Step 3: Cross multiply
    21,725.71x = 29,996 × 14,649.55
  4. Step 4: Simplify right side
    21,725.71x = 439,427,901.80
  5. Step 5: Solve for x
    x = 439,427,901.80/21,725.71
  6. Step 6: Final answer
    x = 20,226.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.